Full realization of ergodic IRS entropy in SL2(Z) and free groups

Liran Ron-George; Ariel Yadin

doi:10.48550/arXiv.2106.10172

Full realization of ergodic IRS entropy in SL2(Z) and free groups

Liran Ron-George, Ariel Yadin

Department of Mathematics

Research output: Working paper/Preprint › Preprint

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Abstract

We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n ≥ 3, where only the trivial entropy values can be realized by ergodic IRSs.

Original language	English
DOIs	https://doi.org/10.48550/arXiv.2106.10172
State	Published - 18 Jun 2021

Keywords

Mathematics - Dynamical Systems
Mathematics - Group Theory
Mathematics - Probability
37A40
37A15
37A50
60G10

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10.48550/arXiv.2106.10172

http://adsabs.harvard.edu/abs/2021arXiv210610172R

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abstract = "We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n ≥ 3, where only the trivial entropy values can be realized by ergodic IRSs.",

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N2 - We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n ≥ 3, where only the trivial entropy values can be realized by ergodic IRSs.

AB - We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n ≥ 3, where only the trivial entropy values can be realized by ergodic IRSs.

KW - Mathematics - Dynamical Systems

KW - Mathematics - Group Theory

KW - Mathematics - Probability

KW - 37A40

KW - 37A15

KW - 37A50

KW - 60G10

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M3 - Preprint

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Full realization of ergodic IRS entropy in SL2(Z) and free groups

Abstract

Keywords

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